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Finding the Third Proportional to 122,026 and 179,079

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Solution

The third proportional to 122,026 and 179,079 is: 262,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,026 : 179,079 = 179,079 : x
  2. Step 2: Convert to fraction form
    122,026/179,079 = 179,079/x
  3. Step 3: Cross multiply
    122,026x = 179,079 × 179,079
  4. Step 4: Simplify right side
    122,026x = 32,069,288,241
  5. Step 5: Solve for x
    x = 32,069,288,241/122,026
  6. Step 6: Final answer
    x = 262,807.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.